Maybe i'm doing something wrong, but i made rounded rectangle looped shape and I have there 2 curvy controllers with auto movement. One has Direction = Forward and Clamping = Loop and works fine, but second has Direction = Backward and Clamping = Loop, and after controller is reaching last point I receive error:

Hi,
I tried to reproduce the bug with the simple setup you explained but couldn't. Could you please:
1- tell me which version of Curvy your are using
2- send me a scene with a reproduction case
Thanks and have a nice day

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The cause of the issue is that you have two spline segments of length 0, the one between CP2 and CP3, and the one between CP6 and CP7. The controller expect segments with non zero lengths. I will work in the future on this to make controllers either resilient to zero length segments, or at least add a proper error message, but for now, just get rid of these segments and everything should work fine.